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October 2016 Curve diagrams for Artin groups of type B
Tetsuya ITO
Hokkaido Math. J. 45(3): 383-398 (October 2016). DOI: 10.14492/hokmj/1478487616

Abstract

We develop a theory of curve diagrams for Artin groups of type $B$. We define the winding number labeling and the wall crossing labeling of curve diagrams, and show that these labelings detect the classical and the dual Garside length, respectively. A remarkable point is that our argument does not require Garside theory machinery like normal forms, and is more geometric in nature.

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Tetsuya ITO. "Curve diagrams for Artin groups of type B." Hokkaido Math. J. 45 (3) 383 - 398, October 2016. https://doi.org/10.14492/hokmj/1478487616

Information

Published: October 2016
First available in Project Euclid: 7 November 2016

zbMATH: 1378.20051
MathSciNet: MR3568634
Digital Object Identifier: 10.14492/hokmj/1478487616

Subjects:
Primary: 20F36
Secondary: 20F10, 57M07

Rights: Copyright © 2016 Hokkaido University, Department of Mathematics

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Vol.45 • No. 3 • October 2016
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